Question
Asked Dec 21, 2019
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In Exercises 17–20, refer to the accompanying table showing results from a Chembio test for hepatitis C among HIV-infected patients (based on data from a variety of sources).

False negative Find the probability of selecting a subject with a negative test result, given that the subject has hepatitis C. What would be an unfavorable consequence of this error?

Positive Test Result
Negative Test Result
Hepatitis C
335
10
No Hepatitis C
1153
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Positive Test Result Negative Test Result Hepatitis C 335 10 No Hepatitis C 1153

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Expert Answer

Step 1

Solution:

Event A: selecting a subject with negative result

Event B: selecting a subject having hepatitis-c.

Then P (A/B) is the probability of selecting a subject with negative result given that having hepatitis-c.

Step 2

Given that,

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Given that, Positive result Negative result total Нерatitis C No hepatitis C 2 337 335 10 345 1155 1153 total 1163 1500

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Step 3

P (A∩B) =10/1500.

P (...

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P(AB) P(A/ B) = P(B) 10/1500 345/1500 10 345 = 0.0289

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